What is the GCF of 16 and another integer?


What is the GCF of 16 and another integer?

Greatest Common Factor

The Greatest Common Factor (GCF) or Greatest Common Divisor (GCD) {eq}d {/eq} of two integers {eq}a {/eq} and {eq}b {/eq} is the biggest or largest integer that can divide into (or evenly divide) both {eq}a {/eq} and {eq}b {/eq}. This is usually written as

{eq}\begin{align} \text{gcd}(a,b) ****= d. \end{align} {/eq}

where {eq}a {/eq} and {eq}b {/eq} are relatively prime if and only if {eq}\text{gcd}(a.b) = 1. {/eq}

Answer and Explanation:

SInce {eq}16 = 2^4, {/eq} its only divisors are powers of 2 of the form {eq}2^k,\; k=0, 1, 2, 3, 4, {/eq} more clearly: 1, 2, 4, 8, and 16.


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Learn more about this topic:

How to Find the Greatest Common Factor

from Math 102: College Mathematics

Chapter 1 / Lesson 3

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